A body has weight 20 N. How much force is required to move it vertically upward with an acceleration of 2 ms⁻² ? Ans. (24 N)


Given:  

Weight of the body = W = 20 N
Acceleration = a = 2 m s⁻²
Gravitational Acceleration = g = 10 m s⁻²
Normal Reaction = R =  W = 20 N

To Find:

The force required to move the body vertically upward = F =   ? 


Solution:  

Using the formula for weight 

W = mg

or

m = `\frac{W}{g}`

by putting values

m = `\frac{20 N}{10 ms⁻²}`

m = 2 kg

Now according to Newton's 2nd Law

F = ma

putting values

F = 2 kg ｘ 2 m s⁻²

F = 4 N

The Force required to move the body vertically upward = Normal Reaction + force producing acceleration = 24 N + 4 N = 24 N

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